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On totally real cubic fields with discriminant D < 10^7

Autor
Llorente, P.; Quer, J.
Tipus d'activitat
Article en revista
Revista
Mathematics of computation
Data de publicació
1988-06
Volum
50
Número
182
Pàgina inicial
581
Pàgina final
594
DOI
https://doi.org/10.1090/S0025-5718-1988-0929555-8 Obrir en finestra nova
URL
http://www.ams.org/journals/mcom/1988-50-182/S0025-5718-1988-0929555-8/ Obrir en finestra nova
Resum
The authors have constructed a table of the 592923 nonconjugate totally real cubic number fields of discriminant D<10^7, thereby extending the existing table of fields with D< 5 X 10^5 constructed by Ennola and Turunen [4]. Each field is given by its discriminant and the coefficients of a generating polynomial. The method used is an improved version of the method developed in [8]. The article contains an exposition of the modified method, statistics and examples. The decomposition of the rationa...
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TN - Grup de Recerca en Teoria de Nombres

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